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Finding the Fourth Proportional to 873.13, 1,205.13 and 523.75

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Solution

The fourth proportional to 873.13, 1,205.13 and 523.75 is: 722.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.13 : 1,205.13 = 523.75 : x
  2. Step 2: Convert to fraction form
    873.13/1,205.13 = 523.75/x
  3. Step 3: Cross multiply
    873.13x = 1,205.13 × 523.75
  4. Step 4: Simplify right side
    873.13x = 631,186.84
  5. Step 5: Solve for x
    x = 631,186.84/873.13
  6. Step 6: Final answer
    x = 722.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.